Answer:
Step-by-step explanation:
Given
Required
The shortest side
The volume of a rectangular prism is:
By comparison, we have:
In ascending order, the sides are:
This is so because:
Irrespective of the value of x
x - 3 will be less than x
x + 4 will be more than x
Hence, the shortest length is:
60 cents because 12+6(1 dozen and a half) is 18 $10.80 divided by 18 is .6 which is 60 cents
Answer:18
Step-by-step explanation:2−2+22−4=9
18≠9
Perpendicular means that the slope of one line is the opposite reciprocal of the other; bisector means that the line that is perpendicular is cutting the other one exactly in half. So we have to find 2 things about BC: the first is the midpoint which will then serve as the x and y coordinates in our new equation, and second is the slope of it. First things first: the midpoint formula is this:
. Using our coordinates we fill in that formula like this:
which of course gives us a midpoint of (7, 6). Now for the slope of the line BC:
. But since we need the perpendicular slope of that we will take its opposite reciprocal which is 1/2. Now use the x and y coordinates of the midpoint and that newly found slope and write your equation to solve for b.
. Solving that for b gives you that b = 5/2. So the equation of the line that is the perpendicular bisector of BC (drum roll, please...) is